Question

In: Statistics and Probability

c) Do the sample variances target the value of the population variance? Why or why not?...

c) Do the sample variances target the value of the population variance? Why or why not?

A) The sample variances target the population variances, therefore sample variances make good estimators of population variances.

B) The sample variances target the population variances, therefore sample variances do not make good estimators of population variances.

C) The sample variances do not target the population variances, therefore sample variances do not make good estimators of population variances.

D) The sample variances do not target the population variances, therefore sample variances make good estimators of population variances.

Solutions

Expert Solution

Here, we have to answer the following question.

Do the sample variances target the value of the population variance? Why or why not?

And we have the following alternatives:-

A) The sample variances target the population variances, therefore sample variances make good estimators of population variances.

B) The sample variances target the population variances, therefore sample variances do not make good estimators of population variances.

C) The sample variances do not target the population variances, therefore sample variances do not make good estimators of population variances.

D) The sample variances do not target the population variances, therefore sample variances make good estimators of population variances.

ANSWER:- A) The sample variances target the population variances, therefore sample variances make good estimators of population variances.

Explanation :- If Variance of the population is and sample variance ,

Then, Sample Variance, targets to(unbiased for) .

i.e.

But, if we consider then, it does not target to .

Hence, Option A. is the correct alternative.

This answers your question.

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orchestra answered 1 year ago
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